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Finding the Fourth Proportional to 54.51, 81.80 and 24.09

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Solution

The fourth proportional to 54.51, 81.80 and 24.09 is: 36.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.51 : 81.80 = 24.09 : x
  2. Step 2: Convert to fraction form
    54.51/81.80 = 24.09/x
  3. Step 3: Cross multiply
    54.51x = 81.80 × 24.09
  4. Step 4: Simplify right side
    54.51x = 1,970.44
  5. Step 5: Solve for x
    x = 1,970.44/54.51
  6. Step 6: Final answer
    x = 36.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.